Equidistribution of polynomial sequences in function fields, with applications
Number Theory
2023-04-19 v2
Abstract
We prove a function field analog of Weyl's classical theorem on equidistribution of polynomial sequences. Our result covers the case in which the degree of the polynomial is greater than or equal to the characteristic of the field, which is a natural barrier when applying the Weyl differencing process to function fields. We also discuss applications to van der Corput, intersective and Glasner sets in function fields.
Keywords
Cite
@article{arxiv.1311.0892,
title = {Equidistribution of polynomial sequences in function fields, with applications},
author = {Thái Hoàng Lê and Yu-Ru Liu and Trevor D. Wooley},
journal= {arXiv preprint arXiv:1311.0892},
year = {2023}
}
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37 pages